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Finding the Fourth Proportional to 91,928.91, 137,847.96 and 53,987.70

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Solution

The fourth proportional to 91,928.91, 137,847.96 and 53,987.70 is: 80,954.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,928.91 : 137,847.96 = 53,987.70 : x
  2. Step 2: Convert to fraction form
    91,928.91/137,847.96 = 53,987.70/x
  3. Step 3: Cross multiply
    91,928.91x = 137,847.96 × 53,987.70
  4. Step 4: Simplify right side
    91,928.91x = 7,442,094,310.09
  5. Step 5: Solve for x
    x = 7,442,094,310.09/91,928.91
  6. Step 6: Final answer
    x = 80,954.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.